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16434170125373 = 71121317923833499
BaseRepresentation
bin1110111100100110000011…
…0111110101110000111101
32011012002110120110101200102
43233021200313311300331
54123224140023002443
654541430432410445
73314221025132330
oct357114067656075
964162416411612
1016434170125373
115266768663800
121a150763a6a25
13922974137540
1440b5bd2c6617
151d775557acb8
hexef260df5c3d

16434170125373 has 96 divisors (see below), whose sum is σ = 22372600320000. Its totient is φ = 11746453023360.

The previous prime is 16434170125361. The next prime is 16434170125403. The reversal of 16434170125373 is 37352107143461.

It is not a de Polignac number, because 16434170125373 - 24 = 16434170125357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434170125333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4696817378 + ... + 4696820876.

It is an arithmetic number, because the mean of its divisors is an integer number (233047920000).

Almost surely, 216434170125373 is an apocalyptic number.

16434170125373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16434170125373 is a deficient number, since it is larger than the sum of its proper divisors (5938430194627).

16434170125373 is a wasteful number, since it uses less digits than its factorization.

16434170125373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 16434170125373 in words is "sixteen trillion, four hundred thirty-four billion, one hundred seventy million, one hundred twenty-five thousand, three hundred seventy-three".

Divisors: 1 7 11 13 77 91 121 143 179 847 1001 1253 1573 1969 2327 2383 3499 11011 13783 16289 16681 21659 24493 25597 26213 30979 38489 45487 151613 179179 183491 216853 269423 281567 288343 318409 340769 423379 426557 500357 626321 1970969 2018401 2385383 2963653 2985899 3502499 3748459 4384247 4692127 5503927 5545241 6889531 8142173 8338117 26239213 32844889 38527489 38816687 48226717 51613397 56995211 58366819 60997651 75784841 89563903 91719287 108395521 361293779 426983557 530493887 626947321 642035009 670974161 758768647 985202933 1008912157 1192350731 1492522943 4696819127 6896420531 7062385099 8346455117 10447660601 13115858041 16417752373 19402798259 91811006287 114924266611 135819587813 180595276103 213430780849 1264166932721 1494015465943 2347738589339 16434170125373